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math-ph2009
Multiscale limit for finite-gap Sine-Gordon Solutions and Calculation of Topological Charge using Theta-functional Formulae
P. G. Grinevich, K. V. Kaipa
In this paper, we introduce the so-called multiscale limit for spectral curves, associated with real finite-gap Sine-Gordon solutions. This technique allows to solve the old proble…
math-ph2008
Calculation of Topological Charge of Real Finite-Gap sine-Gordon solutions using Theta-functional formulae
P. G. Grinevich, K. V. Kaipa
The most basic characteristic of x-quasiperiodic solutions u(x,t) of the sine-Gordon equation u_{tt}-u_{xx}+\sin u=0 is the topological charge density denoted . The real fi…